Model 3 Simplification based on cube & cube root Section-Wise Topic Notes With Detailed Explanation And Example Questions

Question : 1

If $√^3{3^n}$ = 27, then the value of n is :

a) 3

b) 9

c) 1

d) 6

Question : 2

Which smallest number must be added to 710 so that the sum is a perfect cube ?

a) 21

b) 29

c) 11

d) 19

Question : 3

The smallest natural number, by which 3000 must be divided to make the quotient a perfect cube, is :

a) 6

b) 3

c) 5

d) 4

Question : 4

By what least number should 675 be multiplied so as to obtain a perfect cube number ?

a) 40

b) 3

c) 24

d) 5

Question : 5

The value of $√^3{7/875}$ is equal to

a) $1/5$

b) $1/3$

c) $1/4$

d) $1/15$

Question : 6

$√^3{15612 + √{154 + √{225}}}$ is equal to

a) 125

b) 15

c) 75

d) 25